Q: What are the prime factors of the number 540,052,161?

 A: 3, 11, 557, 2671

Why are those the prime factors of the number 540,052,161?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 540,052,161

540,052,161
Factor Arrows
3180,017,387
Factor Arrows
1116,365,217
Factor Arrows
111,487,747
Factor Arrows
5572,671

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 11, 557, 2671

We can check our work by multiplying all of the prime factors together: 3 x 11 x 11 x 557 x 2,671 = 540,052,161

This can also be written as 31 x 112 x 5571 x 2,6711 = 540,052,161

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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